Answer:
2(3 + 8k)
Step-by-step explanation:
given : 6+16k
note that the GCF of 6 and 16 is 2, hence we can factor 2 out of the expression
6+16k
= (2)(3) + (2)(8k)
= 2(3 + 8k)
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by

To find:
The current which will produce the maximum power.
Solution:
We have,


Differentiate with respect to x.

...(i)
To find the extreme point equate P'(x)=0.


Divide both sides by -30.

Differentiate (i) with respect to x.

(Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:0.03
Step-by-step explanation:
Answer:

Step-by-step explanation:
In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.







Hope this helps.
Divide 4,320 between 9 and you'll get 408 per week. divide 408 between 40 and you'll get how much he makes per hour